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1. As Tiffany scooped ice cream into a cone, she began to formulate a geometry problem in her mind. If the ice cream was perfectly spherical with a diameter of 2.5 inches and sat on a geometric cone that also had a diameter of 2.5 inches and was 4.75 inches tall, would the cone hold all the ice cream as it melted (without her eating any of it)? Find the solution to Tiffany’s problem and justify your answer mathematically. • Compute the volume for the ice cream. Show the formula, substitutions, and your work. Use the appropriate units in your answer.

 Mar 21, 2016
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Volume of the ice cream =  (4/3)pi *(2.5 / 2) ^3  = about 8.18 cu in

 

Volume of cone  = [ pi * (2.5/2)^2 * 4.75] / 3  = about 7.77 cu in

 

So....the cone cannot hold all the ice cream

 

 

 

cool cool cool

 Mar 21, 2016

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